TY - JOUR
TI - A fractal variational theory of the Broer-Kaup system in shallow water waves
AU - Ling Wei-Wei
AU - Wu Pin-Xia
JN - Thermal Science
PY - 2021
VL - 25
IS - 3
SP - 2051
EP - 2056
PT - Article
AB - The Broer-Kaup equation is one of many equations describing some phenomena of shallow water wave. There are many errors in scientific research because of the existence of the non-smooth boundaries. In this paper, we generalize the Broer-Kaup equation to the fractal space and establish fractal variational formulations through the semi-inverse method. The acquired fractal variational formulation reveals conservation laws in an energy form in the fractal space and suggests possible solution structures of the morphology of the solitary waves